Results 11 to 20 of about 63,127 (261)

On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

Engineering and Technology Journal, 2017
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj   +1 more source

On ideals and contraideals in Leibniz algebras

Доповiдi Нацiональної академiї наук України, 2023
A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal.
L.A. Kurdachenko, I.Ya. Subbotin, V.S. Yashchuk   +2 more
doaj   +1 more source

Locally conformally balanced metrics on almost abelian Lie algebras

Complex Manifolds, 2021
We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj   +1 more source

SIFAT-SIFAT ALJABAR LIE

Jurnal Matematika UNAND, 2019
Suatu himpunan tak kosong R yang memenuhi aksioma tertentu, ada yang dikatakan grup dan ada yang dikatakan ruang vektor. Suatu aljabar Lie L adalah ruang vektor atas lapangan F dengan perkalian [ , ] yang disebut Bracket Lie dan memenuhi beberapa aksioma
Sa'dha Dwi Meitia, Nova Noliza Bakar, Yanita Yanita   +2 more
doaj   +1 more source

Some properties of Camina and $n$-Baer Lie algebras [PDF]

Journal of Mahani Mathematical Research
Let $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo, Mohammad Reza Moghaddam, Mohammad Amin Rostamyari, Somayeh Saffarnia   +3 more
doaj   +1 more source

Concerning strong Lie ideals [PDF]

Proceedings of the American Mathematical Society, 1960
Let A be a simple ring of characteristic 5 2 or 3, with either its center Z = (0) or of dimension greater than 16 over its center, and with an involution defined on it. Let S and K be the sets of symmetric and skew elements respectively. The Lie and Jordan products are [u, v] =uv-vu and uov=uv+vu.
openaire   +1 more source

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment

International Journal of Computational Intelligence Systems, 2023
The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Sajida Kousar, Sidra Arshad, Nasreen Kausar, Tzung-Pei Hong   +3 more
doaj   +1 more source

On functional identities involving n-derivations in rings [PDF]

Journal of Mahani Mathematical Research
In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney, Shakir Ali, Naira Noor Rafiquee, Kok Wong   +3 more
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On the derivations of cyclic Leibniz algebras

Karpatsʹkì Matematičnì Publìkacìï, 2022
Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj   +1 more source

Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings

Discussiones Mathematicae - General Algebra and Applications, 2017
Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R.
Dhara Basudeb
doaj   +1 more source